Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by
Let us substitute the coordinates of the figure A
Thus, we have,
Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
Just use teh same numbers as the perimeter and times it by 7 and 5
Answer: maximum height of the football = 176 feet
Step-by-step explanation:
We want to determine the maximum height of the football from the ground. From the function given,
h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t
t = -b/2a
b = 96 and a= -16
t = -b/2a = -96/2×-16= 3
Substituting t = 3 into the function if h
h(t) = -16×3^2+96×3 +32
=-16×9 + 96×3 +32
= -144+ 288+32
=176 feet
Answer:
-p5q2 - p3q5 + 2p3 + 2pq2 + 2q3
____________________________
p3q2
Step-by-step explanation:
2
Simplify ——
q2
Equation at the end of step 1 :
(p+q) 2
(((2•—————)-(q3))+——)-p2
(p3) q2
Step 2 :
p + q
Simplify —————
p3 (p + q) 2
(((2 • ———————) - q3) + ——) - p2
p3 q2
Step 3 : 2 • (p + q) 2
((——————————— - q3) + ——) - p2
p3 q2 q3 q3 • p3
q3 = —— = ———————
1 p3
You will have 40 servings
